Finite Group Databasebeta

← Group #10602584

Character table — Group #10602584

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111122222222222222222222444444444444444444444444444488888888888888888888202020202020202040404040
order1222222244445510101010101010101010101010104444202020202020202020202020202020202020202020202020444420202020202020202020202020202020888888882244
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ10222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000000000
χ11222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-21−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000000000000
χ12222222222222−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-21−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2221−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000000000
χ13222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ14222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000000000
χ15222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-21+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000000000
χ16222222222222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-21+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000000
χ1722222222-2-2-2-2222222222222222222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ1822222222-2-2-2-22222222222222222-2-222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ1922222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+521−521−521−521−521+521+521+521+520000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ2022222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-2−1+52−1+52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−521+521+521+521+521−521−521−521−521+521+521+521+520000−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ2122222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2221−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36000000000000
χ2222222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2221−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36000000000000
χ2322222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−521+521+521+521+521−521−521−521−520000−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ2422222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-2−1−52−1−52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+521−521−521−521−521+521+521+521+521−521−521−521−520000ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ2522222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2221+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28000000000000
χ2622222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2221+521+521+521+52−1−52−1−52−1−52−1−521−521−521−521−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ12−ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ12+ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28000000000000
χ27222-2-2-22-222-2-22222-2-222-2-2-2-2-2-2220000000000000000000022-2-222-2-20000000000000000000000000000002i−2i
χ28222-2-2-22-222-2-22222-2-222-2-2-2-2-2-2220000000000000000000022-2-222-2-2000000000000000000000000000000−2i2i
χ29222-2-2-22-2-2-2222222-2-222-2-2-2-2-2-22200000000000000000000-2-222-2-22200000000000000000000000000002-200
χ30222-2-2-22-2-2-2222222-2-222-2-2-2-2-2-22200000000000000000000-2-222-2-2220000000000000000000000000000-2200
χ3122-2-22-2-220000222-22-22-22-22-22-2-2-2002-2000022-2-2000022-2-20000000000000000000000000000i2i2−i2−i2i2i2−i2−i20000
χ3222-2-22-2-220000222-22-22-22-22-22-2-2-2002-2000022-2-2000022-2-20000000000000000000000000000−i2−i2i2i2−i2−i2i2i20000
χ3322-2-22-2-220000222-22-22-22-22-22-2-2-200-220000-2-2220000-2-2220000000000000000000000000000i2i2−i2−i2−i2−i2i2i20000
χ3422-2-22-2-220000222-22-22-22-22-22-2-2-200-220000-2-2220000-2-2220000000000000000000000000000−i2−i2i2i2i2i2−i2−i20000
χ352-22-2-22-22000022-222-2-222-2-22-22-2-22-20022-2-2000022-2-200000000000000000000000000000000i2−i2i2−i2i2−i2i2−i20000
χ362-22-2-22-22000022-222-2-222-2-22-22-2-22-20022-2-2000022-2-200000000000000000000000000000000−i2i2−i2i2−i2i2−i2i20000
χ372-22-2-22-22000022-222-2-222-2-22-22-2-2-2200-2-2220000-2-22200000000000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ382-22-2-22-22000022-222-2-222-2-22-22-2-2-2200-2-2220000-2-22200000000000000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ392-2-22-2-2222-22-222-2-222-2-222-2-2-2-222000000000000000000002-22-22-22-20000000000000000000000002-2-220000
χ402-2-22-2-2222-22-222-2-222-2-222-2-2-2-222000000000000000000002-22-22-22-2000000000000000000000000-222-20000
χ412-2-22-2-222-22-2222-2-222-2-222-2-2-2-22200000000000000000000-22-22-22-22000000000000000000002-2-2200000000
χ422-2-22-2-222-22-2222-2-222-2-222-2-2-2-22200000000000000000000-22-22-22-2200000000000000000000-222-200000000
χ432-2-2-2222-22-2-2222-2-2-2-2-2-2-2-2222222000000000000000000002-2-222-2-222-2002-22-22-22-200000000000000000000
χ442-2-2-2222-22-2-2222-2-2-2-2-2-2-2-2222222000000000000000000002-2-222-2-22-2200-22-22-22-2200000000000000000000
χ452-2-2-2222-22-2-22−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−520000ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−1+521−521−52−1+52−1−521+521+52−1−522-200−1+521−52−1+521−52−1−521+52−1−521+52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ462-2-2-2222-22-2-22−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−520000ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−1+521−521−52−1+52−1−521+521+52−1−52-22001−52−1+521−52−1+521+52−1−521+52−1−52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ472-2-2-2222-22-2-22−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−520000−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−1+521−521−52−1+52−1−521+521+52−1−522-200−1+521−52−1+521−52−1−521+52−1−521+52−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36000000000000
χ482-2-2-2222-22-2-22−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−520000−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−1+521−521−52−1+52−1−521+521+52−1−52-22001−52−1+521−52−1+521+52−1−521+52−1−52ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36000000000000
χ492-2-2-2222-22-2-22−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+520000−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−1−521+521+52−1−52−1+521−521−52−1+522-200−1−521+52−1−521+52−1+521−52−1+521−52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ502-2-2-2222-22-2-22−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+520000−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−1−521+521+52−1−52−1+521−521−52−1+52-22001+52−1−521+52−1−521−52−1+521−52−1+52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ512-2-2-2222-22-2-22−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+520000ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−1−521+521+52−1−52−1+521−521−52−1+522-200−1−521+52−1−521+52−1+521−52−1+521−52ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28000000000000
χ522-2-2-2222-22-2-22−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+520000ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−1−521+521+52−1−52−1+521−521−52−1+52-22001+52−1−521+52−1−521−52−1+521−52−1+52−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28000000000000
χ532-2-2-2222-2-222-222-2-2-2-2-2-2-2-222222200000000000000000000-222-2-222-2002-2000000002-2-222-2-22000000000000
χ542-2-2-2222-2-222-222-2-2-2-2-2-2-2-222222200000000000000000000-222-2-222-200-2200000000-222-2-222-2000000000000
χ552-2-2-2222-2-222-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−520000ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ361−52−1+52−1+521−521+52−1−52−1−521+52002-2ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−1+521−521−52−1+52−1−521+521+52−1−52000000000000
χ562-2-2-2222-2-222-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−520000ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ361−52−1+52−1+521−521+52−1−52−1−521+5200-22−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ361−52−1+52−1+521−521+52−1−52−1−521+52000000000000
χ572-2-2-2222-2-222-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−520000−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ361−52−1+52−1+521−521+52−1−52−1−521+52002-2−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−1+521−521−52−1+52−1−521+521+52−1−52000000000000
χ582-2-2-2222-2-222-2−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1−520000−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ361−52−1+52−1+521−521+52−1−52−1−521+5200-22ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ361−52−1+52−1+521−521+52−1−52−1−521+52000000000000
χ592-2-2-2222-2-222-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+520000−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ281+52−1−52−1−521+521−52−1+52−1+521−52002-2−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28−1−521+521+52−1−52−1+521−521−52−1+52000000000000
χ602-2-2-2222-2-222-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+520000−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ281+52−1−52−1−521+521−52−1+52−1+521−5200-22ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ281+52−1−52−1−521+521−52−1+52−1+521−52000000000000
χ612-2-2-2222-2-222-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+520000ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ281+52−1−52−1−521+521−52−1+52−1+521−52002-2ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−1−521+521+52−1−52−1+521−521−52−1+52000000000000
χ622-2-2-2222-2-222-2−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+52−1−52−1+520000ζ4−ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36−ζ4+ζ36ζ4−ζ36−ζ4+ζ36ζ4−ζ36ζ12−ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28−ζ12+ζ28ζ12−ζ28−ζ12+ζ28ζ12−ζ281+52−1−52−1−521+521−52−1+52−1+521−5200-22−ζ4+ζ36ζ4−ζ36ζ4−ζ36−ζ4+ζ36−ζ12+ζ28ζ12−ζ28ζ12−ζ28−ζ12+ζ281+52−1−52−1−521+521−52−1+52−1+521−52000000000000
χ63444-4-4-44-444-4-4−1+5−1−5−1+5−1+51−51−5−1−5−1−51+51+51−51−51+51+5−1+5−1−500000000000000000000−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000
χ64444-4-4-44-444-4-4−1−5−1+5−1−5−1−51+51+5−1+5−1+51−51−51+51+51−51−5−1−5−1+500000000000000000000−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000
χ65444-4-4-44-4-4-444−1+5−1−5−1+5−1+51−51−5−1−5−1−51+51+51−51−51+51+5−1+5−1−5000000000000000000001−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000
χ66444-4-4-44-4-4-444−1−5−1+5−1−5−1−51+51+5−1+5−1+51−51−51+51+51−51−5−1−5−1+5000000000000000000001+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000
χ6744-44-44-4-40000444-4-444-4-44-44-44-4-4000000000000000000000000000000000000000000000000000000000000
χ6844-44-44-4-40000−1+5−1−5−1+51−51−5−1+5−1−51+51+5−1−51−5−1+51+5−1−51−51+500002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ280000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ3600000000000000000000000000000000000000000000
χ6944-44-44-4-40000−1+5−1−5−1+51−51−5−1+5−1−51+51+5−1−51−5−1+51+5−1−51−51+50000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600000000000000000000000000000000000000000000
χ7044-44-44-4-40000−1−5−1+5−1−51+51+5−1−5−1+51−51−5−1+51+5−1−51−5−1+51+51−50000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ360000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800000000000000000000000000000000000000000000
χ7144-44-44-4-40000−1−5−1+5−1−51+51+5−1−5−1+51−51−5−1+51+5−1−51−5−1+51+51−500002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ2800000000000000000000000000000000000000000000
χ7244-4-44-4-440000−1+5−1−5−1+51−5−1+51−5−1−51+5−1−51+5−1+51−5−1−51+51−51+5004-40000−1+5−1+51−51−50000−1−5−1−51+51+50000000000000000000000000000000000000000
χ7344-4-44-4-440000−1+5−1−5−1+51−5−1+51−5−1−51+5−1−51+5−1+51−5−1−51+51−51+500-4400001−51−5−1+5−1+500001+51+5−1−5−1−50000000000000000000000000000000000000000
χ7444-4-44-4-440000−1−5−1+5−1−51+5−1−51+5−1+51−5−1+51−5−1−51+5−1+51−51+51−5004-40000−1−5−1−51+51+50000−1+5−1+51−51−50000000000000000000000000000000000000000
χ7544-4-44-4-440000−1−5−1+5−1−51+5−1−51+5−1+51−5−1+51−5−1−51+5−1+51−51+51−500-4400001+51+5−1−5−1−500001−51−5−1+5−1+50000000000000000000000000000000000000000
χ764-4444-4-4-4000044-44-44-44-444-44-4-4-4000000000000000000000000000000000000000000000000000000000000
χ774-4444-4-4-40000−1+5−1−51−5−1+51−5−1+51+5−1−51+5−1−5−1+51−5−1−51+51−51+5000000002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ280000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ360000000000000000000000000000000000000000
χ784-4444-4-4-40000−1+5−1−51−5−1+51−5−1+51+5−1−51+5−1−5−1+51−5−1−51+51−51+500000000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ2800002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ360000000000000000000000000000000000000000
χ794-4444-4-4-40000−1−5−1+51+5−1−51+5−1−51−5−1+51−5−1+5−1−51+5−1+51−51+51−500000000−2ζ4+2ζ362ζ4−2ζ362ζ4−2ζ36−2ζ4+2ζ360000−2ζ12+2ζ282ζ12−2ζ282ζ12−2ζ28−2ζ12+2ζ280000000000000000000000000000000000000000
χ804-4444-4-4-40000−1−5−1+51+5−1−51+5−1−51−5−1+51−5−1+5−1−51+5−1+51−51+51−5000000002ζ4−2ζ36−2ζ4+2ζ36−2ζ4+2ζ362ζ4−2ζ3600002ζ12−2ζ28−2ζ12+2ζ28−2ζ12+2ζ282ζ12−2ζ280000000000000000000000000000000000000000
χ814-44-4-44-440000−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−5−1+51+5−1−51−51+54-400−1+5−1+51−51−50000−1−5−1−51+51+500000000000000000000000000000000000000000000
χ824-44-4-44-440000−1+5−1−51−5−1+5−1+51−51+5−1−5−1−51+51−5−1+51+5−1−51−51+5-44001−51−5−1+5−1+500001+51+5−1−5−1−500000000000000000000000000000000000000000000
χ834-44-4-44-440000−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+5−1−51−5−1+51+51−54-400−1−5−1−51+51+50000−1+5−1+51−51−500000000000000000000000000000000000000000000
χ844-44-4-44-440000−1−5−1+51+5−1−5−1−51+51−5−1+5−1+51−51+5−1−51−5−1+51+51−5-44001+51+5−1−5−1−500001−51−5−1+5−1+500000000000000000000000000000000000000000000
χ854-4-44-4-4444-44-4−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+5−1+5−1−500000000000000000000−1+51−5−1+51−5−1−51+5−1−51+500000000000000000000000000000000
χ864-4-44-4-4444-44-4−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−5−1−5−1+500000000000000000000−1−51+5−1−51+5−1+51−5−1+51−500000000000000000000000000000000
χ874-4-44-4-444-44-44−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−51−51−51+51+5−1+5−1−5000000000000000000001−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000000000000000
χ884-4-44-4-444-44-44−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+51+51+51−51−5−1−5−1+5000000000000000000001+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.